In a large cast-iron skillet, melt butter with olive oil over medium heat. Remove from heat.
Arrange potatoes in skillet cut side down in an even layer. Return skillet to heat; cook over medium heat, until bottoms of potatoes are browned and crisp, 8 to 10 minutes.
Turn potatoes over; cover and cook until golden brown and crisp, 5 to 8 minutes more.
Turn potatoes; cover and cook until tender, 5 to 8 minutes more. Season with salt and pepper.
Recipe by Southern Cast Iron at https://southerncastiron.com/braised-greek-chicken-thighs/